A transfinite interpolation method of grid generation based on multipoints
type: Item
instance of: scholarly article
title: A transfinite interpolation method of grid generation based on multipoints
zbMATH Open document ID: 0910.65068
DOI: 10.1023/A:1023260812163
author: Yuan Chang Liou
author: Yih-Nen Jeng
published in: Journal of Scientific Computing
publication date: 1998-09-29T00:00:00Z
review text: The authors study the generation of grids on two-dimensional domains with given fixed boundary. They want their grids to be approximately orthogonal around the boundary and smooth in the whole domain. To this end they develop two algebraic grid generation methods. The data for the interpolation formulae are determined by more than one point along the boundary; in fact, the number of boundary points involved increases if the point of interest moves away from a boundary. The authors discuss several examples involving airfoils, bullets, turbine blades and internal flow regions.
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 1204431
zbMATH Keywords: transfinite interpolation method
zbMATH Keywords: Soni-linear interpolation
zbMATH Keywords: Soni-Hermite interpolation
zbMATH Keywords: parallel computation
zbMATH Keywords: algebraic grid generation methods
zbMATH Keywords: airfoils
zbMATH Keywords: bullets
zbMATH Keywords: turbine blades
zbMATH Keywords: internal flow regions
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: a:1023260812163
OpenAlex ID: W1613535445
Recommended article: Interpolating matrix method: A finite difference method for arbitrary arrangement of mesh points
Recommended article: An extended Prony's interpolation scheme on an equispaced grid
Recommended article: Grid Point Interpolation on Finite Regions Using $C^1 $ Box Splines
Recommended article: Multigrid method with a new interpolation operator
Recommended article: On multivariate interpolation by generalized polynomials on subsets of grids
Recommended article: A general multipurpose interpolation procedure: The magic points
Recommended article: Q3139619
Recommended article: Practical Three-Dimensional Mesh Generation Using Transfinite Interpolation
Recommended article: A point interpolation meshless method based on radial basis functions
Recommended article: Q3513287
description: scientific article; zbMATH DE number 1204431